Exponents and Powers
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Short Answer Questions(SAQs)
What are ‘Exponents’?
An exponent is a number that is placed as a superscript over a number. In other words, it indicates that the base is raised to a certain power.
What is an ‘Exponent zero’?
The zero exponent indicates that there are no factors of a number.
What is a ‘Standard form’?
Standard form is a way of writing a number so it is easier to read. It is often used for very large or very small numbers.
MCQs
1. What is 23?
(a) 5
(b) 6
(c) 8
(d) 9
► (c) 23 = 2 × 2 × 2 = 8.
2. What is 100?
(a) 10
(b) 1
(c) 0
(d) None of these
► (b) Any non-zero number to the power 0 is 1.
3. What is 51?
(a) 0
(b) 5
(c) 1
(d) 10
► (b) 51 = 5.
4. What is the value of 32?
(a) 6
(b) 8
(c) 9
(d) 12
► (c) 32 = 3 × 3 = 9.
5. Which of the following is written in standard form?
(a) 7,000
(b) 7 × 103
(c) 70
(d) 700
► (b) 7 × 103 is written in standard exponential form.
6. What is the base in 42?
(a) 4
(b) 2
(c) 8
(d) 16
► (a) 4 is the base, 2 is the exponent.
7. What is the exponent in 64?
(a) 6
(b) 24
(c) 4
(d) 10
► (c) 4 is the exponent (or power).
8. 24 equals:
(a) 8
(b) 12
(c) 16
(d) 24
► (c) 2 × 2 × 2 × 2 = 16.
9. 1n is always:
(a) n
(b) 0
(c) 1
(d) None of these
► (c) Any power of 1 is always 1.
10. What is 90?
(a) 9
(b) 1
(c) 0
(d) 90
► (b) 90 = 1 by zero exponent rule.
11. Which of the following has the greatest value?
(a) 25
(b) 33
(c) 42
(d) 51
► (a) 25 = 32; 33 = 27; 42 = 16; 51 = 5; so (a) is greatest.
12. 102 is equal to:
(a) 20
(b) 100
(c) 1000
(d) 10
► (b) 10 × 10 = 100.
13. 31 + 30 equals:
(a) 4
(b) 3
(c) 1
(d) 2
► (a) 3 + 1 = 4.
14. The exponent in 72 tells us:
(a) How many times 7 is multiplied by itself
(b) Number of zeros
(c) Number of base digits
(d) None of these
► (a) 7 × 7 = 49. So exponent shows how many times base is used as a factor.
15. What is the result of 03?
(a) 0
(b) 3
(c) 1
(d) Undefined
► (a) 0 multiplied 3 times is still 0.
16. What is the expanded form of 53?
(a) 5 × 3
(b) 5 + 5 + 5
(c) 5 × 5 × 5
(d) 15
► (c) Exponents represent repeated multiplication.
17. Which is the correct statement?
(a) 23 = 32
(b) 24 = 16
(c) 42 = 8
(d) 101 = 0
► (b) 24 = 16 is the only correct equation.
18. 60 equals:
(a) 0
(b) 1
(c) 6
(d) Undefined
► (b) Any non-zero base raised to 0 is 1.